ThmDex – An index of mathematical definitions, results, and conjectures.
▼ Set of symbols
▼ Alphabet
▼ Deduction system
▼ Theory
▼ Zermelo-Fraenkel set theory
▼ Set
▼ Collection of sets
▼ Set union
▼ Successor set
▼ Inductive set
▼ Set of inductive sets
Definition D225
Set of natural numbers
Formulation 0
Let $\text{Ind}$ be the D2224: Set of inductive sets.
The set of natural numbers is the D11: Set \begin{equation} \mathbb{N} : = \cap \text{Ind} \end{equation}
Also known as
Set of unsigned integers
Children
▶ D3202: Basic natural number set density
▶ D3200: Lower basic natural number set density
▶ D4595: Set of Fibonacci numbers
▶ D1042: Set of digits
▶ D367: Set of integers
▶ D3201: Upper basic natural number set density